The Mark II version of the P5 was introduced in 1962. It featured more power. 29 horsepower (96 kW). from the same '3. 0 L' engine[5] and an improved suspension. while dropping the glass wind deflectors from the top of the window openings which also. on the front doors. now featured "quarterlight" windows (Quarter glass in US English).

The most notable addition to the range was the option of the Coupé body style launched in autumn 1962. Unlike most coupés. which tend to be two-door versions of four-door saloons. this retained the four doors and was of the same width and length as the saloon. but featured a roofline lowered by two and a half inches (6 cm) along with thinner b-pillars. giving it the look of a hardtop. Hydrosteer was standard on the Coupe and optional on the Saloon.

Production of the Mark II ended in 1965. by which time 5. 82 coupés and 15. 76 saloons had been produced. [4]